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10044135300 = 22352191762129
BaseRepresentation
bin10010101101010110…
…10101011110000100
3221220222210221101010
421112223111132010
5131032244312200
64340400402220
7503621512203
oct112653253604
927828727333
1010044135300
11429471a571
121b43916370
13c40ba1334
146b3d7123a
153dbbca150
hex256ad5784

10044135300 has 72 divisors (see below), whose sum is σ = 30590576800. Its totient is φ = 2537464320.

The previous prime is 10044135293. The next prime is 10044135301. The reversal of 10044135300 is 353144001.

10044135300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10044135301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875365 + ... + 886764.

Almost surely, 210044135300 is an apocalyptic number.

10044135300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044135300 is an abundant number, since it is smaller than the sum of its proper divisors (20546441500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10044135300 is a wasteful number, since it uses less digits than its factorization.

10044135300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762165 (or 1762158 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10044135300 its reverse (353144001), we get a palindrome (10397279301).

The spelling of 10044135300 in words is "ten billion, forty-four million, one hundred thirty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 1762129 3524258 5286387 7048516 8810645 10572774 17621290 21145548 26431935 33480451 35242580 44053225 52863870 66960902 88106450 100441353 105727740 132159675 133921804 167402255 176212900 200882706 264319350 334804510 401765412 502206765 528638700 669609020 837011275 1004413530 1674022550 2008827060 2511033825 3348045100 5022067650 10044135300